A Beale-Kato-Majda blow-up criterion for the 3-D compressible Navier-Stokes equations | |
Sun, Yongzhong ; Wang, Chao ; Zhang, Zhifei | |
2011 | |
关键词 | Blow-up criterion Compressible Navier-Stokes equations Lame system Strong solution BOUNDARY-VALUE-PROBLEMS CLASSICAL-SOLUTIONS GLOBAL-SOLUTIONS WEAK SOLUTIONS REGULARITY FLUIDS EXISTENCE BMO |
英文摘要 | We prove a blow-up criterion in terms of the upper bound of the density for the strong solution to the 3-D compressible Navier-Stokes equations. The initial vacuum is allowed. The main ingredient of the proof is a priori estimate for an important quantity under the assumption that the density is upper bounded, whose divergence can be viewed as the effective viscous flux. (C) 2010 Elsevier Masson SAS. All rights reserved.; http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000286698500003&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=8e1609b174ce4e31116a60747a720701 ; Mathematics, Applied; Mathematics; SCI(E); 62; ARTICLE; 1; 36-47; 95 |
语种 | 英语 |
出处 | SCI |
出版者 | 纯数学与应用数学杂志 |
内容类型 | 其他 |
源URL | [http://hdl.handle.net/20.500.11897/241163] |
专题 | 数学科学学院 |
推荐引用方式 GB/T 7714 | Sun, Yongzhong,Wang, Chao,Zhang, Zhifei. A Beale-Kato-Majda blow-up criterion for the 3-D compressible Navier-Stokes equations. 2011-01-01. |
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